List questions from unitary-matrices

Published on 23 Mar 2026 - 4:39

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Unitary matrices are invertible.

Published on 23 Mar 2026 - 3:53

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Square root of unitary matrix

Published on 22 Mar 2026 - 15:55

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$AA^*A=A$ with eigenvalues $1$ and $0$, prove that $A$ is unitarily diagonalizable.

Published on 23 Mar 2026 - 7:53

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Modifying unitary matrix eigenvalues by right multiplication by orthogonal matrix

Published on 23 Mar 2026 - 8:00

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Parametrization of unitary matrices

Published on 23 Mar 2026 - 6:37

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Is real power of unitary matrix unitary?

Published on 22 Mar 2026 - 14:50

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How to calculate the unitaries satisfying $U_YXU_Y^\dagger=Y$ and $U_ZXU_Z^\dagger=Z$?

Published on 22 Mar 2026 - 21:23

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A real symmetric cannot be similar to an antisymmetric matrix

Published on 22 Mar 2026 - 16:27

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Numerical stability: cannot unitarily diagonalize normal matrices

Published on 22 Mar 2026 - 23:56

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How are $SU(n)$, $SL(n)$ and $\mathfrak{sl}(n,\mathbb{C})$ related?

Published on 16 Mar 2026 - 19:41

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Orthogonal (unitary) Procrustes problem (complex matrices)

Published on 19 Mar 2026 - 22:58

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Unitary reflection mapping $\vec{u}$ to $\vec{v}$

Published on 25 Mar 2026 - 1:07

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How is $SL(2,\mathbb{C})$ the complexification of $SU(2)$?

Published on 17 Mar 2026 - 16:48

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Eigenvectors solution for unitary matrices

Published on 22 Mar 2026 - 10:34

List Question

Operator norm and unitary matrix

Unitary matrices are invertible.

Square root of unitary matrix

$AA^*A=A$ with eigenvalues $1$ and $0$, prove that $A$ is unitarily diagonalizable.

Modifying unitary matrix eigenvalues by right multiplication by orthogonal matrix

Parametrization of unitary matrices

Is real power of unitary matrix unitary?

How to calculate the unitaries satisfying $U_YXU_Y^\dagger=Y$ and $U_ZXU_Z^\dagger=Z$?

A real symmetric cannot be similar to an antisymmetric matrix

Numerical stability: cannot unitarily diagonalize normal matrices

How are $SU(n)$, $SL(n)$ and $\mathfrak{sl}(n,\mathbb{C})$ related?

Orthogonal (unitary) Procrustes problem (complex matrices)

Unitary reflection mapping $\vec{u}$ to $\vec{v}$

How is $SL(2,\mathbb{C})$ the complexification of $SU(2)$?

Eigenvectors solution for unitary matrices

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